Show that p(x* |¤, S) = stu-t(*Ho+nã n+K n+k+1 (n+k)(n+m+1-d) Eo + (n – 1)S + В.3. K- m +1- d) (hint: |A+ xx"| = |A|(1+ x" A¬!x)) +u1(-Or)(꾼- Or)

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Normal-Normal-Inverted Wishart Conjugate Model for Classification.

Show that p(x* |¤, S) = stu-t(*Ho+nã
n+K
n+k+1
(n+k)(n+m+1-d)
Eo + (n – 1)S +
n (Ho – 3)(40 – #)"|
В.3.
,n+
K-
m +1- d) (hint: |A+xx"| = |A|(1+æ" A-læ))
Transcribed Image Text:Show that p(x* |¤, S) = stu-t(*Ho+nã n+K n+k+1 (n+k)(n+m+1-d) Eo + (n – 1)S + n (Ho – 3)(40 – #)"| В.3. ,n+ K- m +1- d) (hint: |A+xx"| = |A|(1+æ" A-læ))
Ν(μ, Σ)
Ν(μο, κ ΙΣ)
w-'(Eo, m)
Σ
Given a data set D = {x1, . .., æn}, x¡ E Rª, generated by this model, let the sample mean be a
the sample covariance matrix be S = (x; - a)(x; – a)T.
n Li=1 Ti and
n Li=1
Transcribed Image Text:Ν(μ, Σ) Ν(μο, κ ΙΣ) w-'(Eo, m) Σ Given a data set D = {x1, . .., æn}, x¡ E Rª, generated by this model, let the sample mean be a the sample covariance matrix be S = (x; - a)(x; – a)T. n Li=1 Ti and n Li=1
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